details

property	value
status	complete
benchmark	matchbox1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n127.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.72699 seconds
cpu usage	26.8746
user time	25.3717
system time	1.50294
max virtual memory	3.9896904E7
max residence set size	3953024.0

stage attributes

key	value
starexec-result	YES

output

26.55/8.69 YES 26.55/8.71 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 26.55/8.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.55/8.71 26.55/8.71 26.55/8.71 Termination w.r.t. Q of the given QTRS could be proven: 26.55/8.71 26.55/8.71 (0) QTRS 26.55/8.71 (1) QTRS Reverse [EQUIVALENT, 0 ms] 26.55/8.71 (2) QTRS 26.55/8.71 (3) QTRSRRRProof [EQUIVALENT, 51 ms] 26.55/8.71 (4) QTRS 26.55/8.71 (5) DependencyPairsProof [EQUIVALENT, 35 ms] 26.55/8.71 (6) QDP 26.55/8.71 (7) MRRProof [EQUIVALENT, 90 ms] 26.55/8.71 (8) QDP 26.55/8.71 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 26.55/8.71 (10) QDP 26.55/8.71 (11) QDPOrderProof [EQUIVALENT, 949 ms] 26.55/8.71 (12) QDP 26.55/8.71 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 26.55/8.71 (14) TRUE 26.55/8.71 26.55/8.71 26.55/8.71 ---------------------------------------- 26.55/8.71 26.55/8.71 (0) 26.55/8.71 Obligation: 26.55/8.71 Q restricted rewrite system: 26.55/8.71 The TRS R consists of the following rules: 26.55/8.71 26.55/8.71 r(e(x1)) -> w(r(x1)) 26.55/8.71 i(t(x1)) -> e(r(x1)) 26.55/8.71 e(w(x1)) -> r(i(x1)) 26.55/8.71 t(e(x1)) -> r(e(x1)) 26.55/8.71 w(r(x1)) -> i(t(x1)) 26.55/8.71 e(r(x1)) -> e(w(x1)) 26.55/8.71 r(i(t(e(r(x1))))) -> e(w(r(i(t(e(x1)))))) 26.55/8.71 26.55/8.71 Q is empty. 26.55/8.71 26.55/8.71 ---------------------------------------- 26.55/8.71 26.55/8.71 (1) QTRS Reverse (EQUIVALENT) 26.55/8.71 We applied the QTRS Reverse Processor [REVERSE]. 26.55/8.72 ---------------------------------------- 26.55/8.72 26.55/8.72 (2) 26.55/8.72 Obligation: 26.55/8.72 Q restricted rewrite system: 26.55/8.72 The TRS R consists of the following rules: 26.55/8.72 26.55/8.72 e(r(x1)) -> r(w(x1)) 26.55/8.72 t(i(x1)) -> r(e(x1)) 26.55/8.72 w(e(x1)) -> i(r(x1)) 26.55/8.72 e(t(x1)) -> e(r(x1)) 26.55/8.72 r(w(x1)) -> t(i(x1)) 26.55/8.72 r(e(x1)) -> w(e(x1)) 26.55/8.72 r(e(t(i(r(x1))))) -> e(t(i(r(w(e(x1)))))) 26.55/8.72 26.55/8.72 Q is empty. 26.55/8.72 26.55/8.72 ---------------------------------------- 26.55/8.72 26.55/8.72 (3) QTRSRRRProof (EQUIVALENT) 26.55/8.72 Used ordering: 26.55/8.72 Polynomial interpretation [POLO]: 26.55/8.72 26.55/8.72 POL(e(x_1)) = 1 + x_1 26.55/8.72 POL(i(x_1)) = x_1 26.55/8.72 POL(r(x_1)) = 2 + x_1 26.55/8.72 POL(t(x_1)) = 3 + x_1 26.55/8.72 POL(w(x_1)) = 1 + x_1 26.55/8.72 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 26.55/8.72 26.55/8.72 e(t(x1)) -> e(r(x1)) 26.55/8.72 r(e(x1)) -> w(e(x1)) 26.55/8.72 26.55/8.72 26.55/8.72 26.55/8.72 26.55/8.72 ---------------------------------------- 26.55/8.72 26.55/8.72 (4) 26.55/8.72 Obligation: 26.55/8.72 Q restricted rewrite system: 26.55/8.72 The TRS R consists of the following rules: 26.55/8.72 26.55/8.72 e(r(x1)) -> r(w(x1)) 26.55/8.72 t(i(x1)) -> r(e(x1)) 26.55/8.72 w(e(x1)) -> i(r(x1)) 26.55/8.72 r(w(x1)) -> t(i(x1)) 26.55/8.72 r(e(t(i(r(x1))))) -> e(t(i(r(w(e(x1)))))) 26.55/8.72 26.55/8.72 Q is empty. 26.55/8.72 26.55/8.72 ---------------------------------------- 26.55/8.72 26.55/8.72 (5) DependencyPairsProof (EQUIVALENT) 26.55/8.72 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. popout

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all output return to SRS_Standard 2019-03-29 03.29